10010573456 has 20 divisors (see below), whose sum is σ = 20887446972. Its totient is φ = 4620264576.

The previous prime is 10010573431. The next prime is 10010573473. The reversal of 10010573456 is 65437501001.

It can be written as a sum of positive squares in 2 ways, for example, as 2392775056 + 7617798400 = 48916^2 + 87280^2 .

It is a super-3 number, since 3×10010573456³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24063671 + ... + 24064086.

Almost surely, 2^10010573456 is an apocalyptic number.

10010573456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10010573456 is an abundant number, since it is smaller than the sum of its proper divisors (10876873516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010573456 is a wasteful number, since it uses less digits than its factorization.

10010573456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48127778 (or 48127772 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 10010573456 in words is "ten billion, ten million, five hundred seventy-three thousand, four hundred fifty-six".